{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "290ddd1c",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import torch\n",
    "import torchquantum as tq\n",
    "from torchquantum.pulse import sigmai, sigmax, sigmay, sigmaz, sesolve, InitialState\n",
    "import matplotlib.pyplot as plt\n",
    "from qutip import Bloch\n",
    "from utils import *"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "f50d8c13",
   "metadata": {},
   "outputs": [],
   "source": [
    "n_dt = 160\n",
    "dt = 0.22 # ns"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "ed3f5bcd",
   "metadata": {},
   "outputs": [],
   "source": [
    "psi = InitialState(n_qubit = 1, state = [0])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "7d6bba1a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7f84da4f52e0>]"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "pulse = Schedule(0.1 * np.ones((n_dt,1)))\n",
    "H = H_qubit_example(n_qubit = 1, pulse = pulse, dt = dt)\n",
    "y_res = sesolve(psi0 = psi, H = H, n_dt = n_dt, dt = dt)\n",
    "psi0_t = torch.abs(y_res[0][:,0]).tolist()\n",
    "plt.plot([p**2 for p in psi0_t])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "f2e92e55",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 500x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "points = [sv2bloch(state) for state in y_res[0].tolist()]\n",
    "sphere = Bloch()\n",
    "sphere.add_points(np.array(points).T)\n",
    "sphere.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "d9805508",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "bc54e612",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "e93d3ab2",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7f84e9efa820>]"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import torch.optim as optim\n",
    "\n",
    "theta = np.pi/3\n",
    "n_dt = 10\n",
    "target_unitary = torch.tensor([[np.cos(theta/2), -1j*np.sin(theta/2)], [-1j*np.sin(theta/2), np.cos(theta/2)]], dtype=torch.complex64)\n",
    "pulse = Schedule((0.2+0.1j) * np.ones((n_dt,1)))\n",
    "\n",
    "optimizer = optim.Adam(params=[pulse], lr=1e-2)\n",
    "\n",
    "losses = []\n",
    "\n",
    "for k in range(100):\n",
    "    H = H_qubit_example(n_qubit = 1, pulse = pulse, dt = dt)\n",
    "    solver_result = sesolve(psi0 = sigmai(), H = H, n_dt = n_dt, dt = dt)\n",
    "    unitary = solver_result[0][-1]\n",
    "    loss = 1 - (torch.trace(unitary @ target_unitary) / target_unitary.shape[0]).abs() ** 2 \\\n",
    "    + 0.1 * torch.abs(torch.diff(pulse)).sum() + 0.01 * torch.norm(pulse)\n",
    "    optimizer.zero_grad()\n",
    "    loss.backward()\n",
    "    optimizer.step()\n",
    "    losses.append(loss.item())\n",
    "plt.xlabel(\"Number of Iterations\")\n",
    "plt.ylabel(\"Training Losses\")\n",
    "plt.title(\"Training from Default Initialization\")\n",
    "plt.plot(losses[:100])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "eff7ede2",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "tensor([[ 8.6753e-01-3.7338e-05j,  8.1141e-04+4.9739e-01j],\n",
       "        [-8.1141e-04+4.9739e-01j,  8.6753e-01+3.7338e-05j]],\n",
       "       grad_fn=<SelectBackward0>)"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "unitary"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "5b05b4a6",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "tensor([[0.8660+0.0000j, 0.0000-0.5000j],\n",
       "        [0.0000-0.5000j, 0.8660+0.0000j]])"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "target_unitary"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "4beeddc4",
   "metadata": {},
   "outputs": [],
   "source": [
    "H = H_qubit_example(n_qubit = 1, pulse = pulse, dt = dt)\n",
    "y_res = sesolve(psi0 = psi, H = H, n_dt = n_dt, dt = dt)\n",
    "psi0_t = torch.abs(y_res[0][:,0]).tolist()\n",
    "# plt.plot([p**2 for p in psi0_t])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "e6e91d33",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 500x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "points = [sv2bloch(state) for state in y_res[0].tolist()]\n",
    "sphere = Bloch()\n",
    "sphere.add_points(np.array(points).T)\n",
    "sphere.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "5dc6a66e",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "9c29144f",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "6619d6fe",
   "metadata": {},
   "outputs": [],
   "source": [
    "n_dt = 160\n",
    "dt = 0.22 # ns"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "2ac0ee17",
   "metadata": {},
   "outputs": [],
   "source": [
    "pulse_values = np.arange(1,n_dt+1)/n_dt\n",
    "pulse = Schedule(pulse_values)\n",
    "# plt.plot(pulse_values)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "434713d8",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7f84fa045460>]"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "pulse = Schedule(pulse_values)\n",
    "H = H_qubit_example(n_qubit = 1, pulse = pulse, dt = dt)\n",
    "lin_res = sesolve(psi0 = psi, H = H, n_dt = n_dt, dt = dt)\n",
    "linpsi0_t = torch.abs(lin_res[0][:,0]).tolist()\n",
    "plt.plot([p**2 for p in linpsi0_t])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "064b9a94",
   "metadata": {},
   "outputs": [],
   "source": [
    "# points = [sv2bloch(state) for state in lin_res[0].tolist()]\n",
    "# sphere = Bloch()\n",
    "# sphere.add_points(np.array(points).T)\n",
    "# sphere.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "a1df3083",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "aa4e5844",
   "metadata": {},
   "outputs": [],
   "source": [
    "pulse_values = np.cos(2*np.pi/n_dt*np.arange(1,n_dt+1))/2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "d0ca6da5",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7f84ea87a640>]"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "pulse = Schedule(pulse_values)\n",
    "H = H_qubit_example(n_qubit = 1, pulse = pulse, dt = dt)\n",
    "per_res = sesolve(psi0 = psi, H = H, n_dt = n_dt, dt = dt)\n",
    "perpsi0_t = torch.abs(per_res[0][:,0]).tolist()\n",
    "plt.plot([p**2 for p in perpsi0_t])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "c07831e4",
   "metadata": {},
   "outputs": [],
   "source": [
    "# points = [sv2bloch(state) for state in per_res[0].tolist()]\n",
    "# sphere = Bloch()\n",
    "# sphere.add_points(np.array(points).T)\n",
    "# sphere.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "249d6b73",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "3947abb1",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.16"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
